从能量循环理论看量子力学——波函数在三维真实空间中的能量位置

S. Nagao
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引用次数: 0

摘要

Schrödinger方程是量子力学的核心之一,但也存在矛盾。在获得能量和动量算符的过程中,对[公式:见文]使用关系[公式:见文]。然而,当它们应用于哈密顿方程时,动能设为[公式:见文]。基于能量循环理论,我们研究了粒子运动的量子化。我们阐明在何种情况下和何种能量下我们可以使用这个关系[公式:见正文]。我们重新推导了一个波动方程,以提供代表粒子具体运动和能量分布的波动函数。Schrödinger方程偶然有一个类似的形式,但我们的新方程中的质量是能量量子的质量,用[公式:见文本]表示,这对任何粒子的任何能量都是常见的,只由运动速度决定。即使用复数表示,解也能显示出能量在三维真实空间中的位置。当一个粒子做圆周运动时,它的圆周频率被量子化。在原子中,电子围绕隐藏的维度轴循环,并且循环可以进一步旋转。我们提出了电子轨道的量子化条件,并推导了不同于目前认识的S轨道和P轨道的具体波函数。我们还证明了测不准原理对粒子的运动是无效的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Quantum Mechanics from the Energy Circulation Theory — Wave Function Showing an Energy Location in the 3D Real Space
The Schrödinger equation is one of the cores in quantum mechanics, but bears a contradiction. In the process to obtain the energy and momentum operators, the relation [Formula: see text] is used for [Formula: see text]. However, when they are applied to the Hamiltonian equation, the kinetic energy is set as [Formula: see text]. Based on the Energy Circulation Theory, we examine in this paper the quantization of motions of a particle. We clarify in which situation and for what energy we can use the relation [Formula: see text]. We derive a wave equation de novo to provide wave functions representing a concrete motion and energy distribution of a particle. The Schrödinger equation has a similar form by chance but the mass in our new equation is that of energy quantum expressed by [Formula: see text], which is common for any energies of any particles and decided only by the moving speed. A solution shows an energy location in the 3D real space even if it is expressed in complex. When a motion of a particle gets in circle, its circular frequency becomes quantized. In an atom, an electron circulates around the hidden dimensional axis, and the circulation can further rotate. We propose the quantization conditions for the electron orbiting, and derive the wave functions in concrete for S and P orbitals, which are different from current perceptions. We also demonstrate that the uncertainty principle is not valid for a motion of a particle.
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